I want to be able to take it out and have it fit in my handbag, and preferably charge via plugging the camera into the mains and usb directly into the computer rather than by taking the battery out to charge is separately.
I'm a huge and long time fan of the Canon Ixus range. Canon got it right with whole concept. They take great pictures, nice looking and slim but the right size to hold. Not up with the current models mind you but the 220 and 230 are well specced cameras and you can rest assured you will not be disappointed IMO